The volume of this cone is 3,183.96 cubic meters. What is the height of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

Hi! The answer is B!

I would suggest using a graphing calculator to compare all the lines. You can use this free one called Desmos, sorry i was not able to attach a link :)

Answer:

*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)

a) A = 6000[1 + (0.08 × 5)] = 8400

b) A = $8,400.00

Answer:

  a) $2400

  b) $8400

Step-by-step explanation:

The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.

__

The simple interest is given by the formula ...

  I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years

For this investment, the interest is ...

  I = $6000·0.08·5 = $2400

The simple interest amounts to $2400.

__

The amount collected at the end of 5 years is the principal plus interest:

  P +I = $6000 +2400 = $8400

The total collected is $8400.

Answer:

The answer is 1197.42

Step-by-step explanation:

Answer:

  x ≈ 8.99

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.

__

The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (tower height)/(length of shadow)

Solving for the length of shadow, we have ...

  length of shadow = (tower height)/tan(angle of elevation)

The difference in shadow lengths is 2x for the two different angles, so we have ...

  2x = 24.57/tan(30°) -24.57/tan(45°)

__

Dividing by 2 and factoring out the tower height, we have ...

  x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)

  x ≈ 8.993244

The value of x is about 8.99.

Answer: 8

Step-by-step explanation:

To find the diagonal, we need to use two formulas:

Area of a square: [tex]A = s^{2}[/tex] (Area = side * side)

Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]  

Since  every side of a square is the same:

[tex]a^2 = b^2\\a = b = \sqrt{32} \\a^{2} = 32\\b^2 = 32[/tex]

Our equation:

[tex]32 + 32 = c^2\\64 = c^2\\8 = c[/tex]

The picture below visually explains the problem

Hope this helps!

the lowest mileage rate is 25 miles per gallon.

Multiply 25 by 15 gallons

25 x 15 = 375 miles

Answer: B. 375 miles

Answer:

4

Step-by-step explanation:

3s=14-2

3s=12

3s/3=12/3

s=4

[tex]~~~~\dfrac{12}{x^2 -49} \cdot \dfrac{x^2+9x+14}{9}\\\\\\=\dfrac{4}{x^2 -7^2}\cdot \dfrac{x^2 + 7x +2x +14}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)} \cdot \dfrac{x(x+7)+2(x+7)}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)}\cdot \dfrac{(x+7)(x+2)}{3}\\\\\\=\dfrac{4(x+2)}{3(x-7)}[/tex]

Answer:

[tex]\frac{4(x + 2)}{3(x - 7)}[/tex]

Step-by-step explanation:

Hello!

We can simplify this by factoring, and cross reducing.

The final simplified form is [tex]\frac{4(x + 2)}{3(x - 7)}[/tex]

Answer: 7

Step-by-step explanation:

As [tex]\angle T \cong \angle T[/tex] by the reflexive property, we know that [tex]\triangle RST \sim \triangle UVT[/tex] by AA.

Since corresponding sides of similar triangles are proportional,

[tex]\frac{UT}{5}=\frac{13.2+5}{13}\\UT=(5)\left(\frac{13.2+5}{13} \right)=\boxed{7}[/tex]

Answer:

3x+(4x-1)+90°=180°{sum of angles in a triangle}

3x+4x-1+90°=180°

7x+89°=180°

7x=180°-89°

7x=91°

divide both sides by 7

x=13

Answer:

The answer is x=13

Answer:

42

Step-by-step explanation:

6 times 7 is 42

Answer:

If the question is which is closest to 8, the answer is 61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The mean is 23

The median is 22

Step-by-step explanation:

To find the mean you have to do 2 steps:

Step 1: Add up all your numbers:

31 + 14 + 26 + 17 + 32 + 18

= 138

Step 2: Divide you answer by how many numbers there are(6):

138 ÷ 6

= 23

Now to find you median

First put the numbers in order:

14, 17, 18, 26, 31, 32

Now grab the middle number and since there are an even amount of numbers grab the 2 middle numbers:

14, 17, 18, 26, 31, 32

Now add the 2 numbers:

18 + 26

= 44

The last step is to divide your answer by 2:

44 ÷ 2

= 22

Answer:

Option C, The volume of the length cube is 3 times the volume of the smaller cube

Step-by-step explanation:

21.8 / 7.8 = 2.8

the volume of the larger would be 21.8^3 = 10360.23

the volume of the larger would be 7.8^3 = 474.55

The point-slope form of the equation for the line is y - 3 =1/2(x - 2)

From the question, we are to determine the point-slope form of the equation for the line

The point-slope form of the equation of a line is given by

y - y₁ = m(x - x₁)

Where (x₁, y₁) is a point on the line

and m is the slope of the line

From the given information,

Slope, m = 1/2

and we have the point (2,3)

∴ The point-slope form of the equation for the line is

y - 3 =1/2(x - 2)

Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)

Learn more on Point-slope form of the equation of a line here: https://brainly.com/question/26704430

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Answer:

C

Step-by-step explanation:

Evaluating the options :

Option A

⇒ 5/2x + 7/2 = 3/4x + 14

⇒ 2.5x - 0.75x = 14 - 3.5

⇒ 1.75x = 10.5

⇒ x = 6

⇒ No ×

===========================================================

Option B

⇒ 5/4x - 9 = 3/2x - 12

⇒ 1.5x - 1.25x = -9 + 12

⇒ 0.25x = 3

⇒ x = 12

⇒ No ×

=========================================================

Option C

⇒ 5/4x - 2 = 3/2x - 4

⇒ 1.5x - 1.25x = -2 + 4

⇒ 0.25x = 2

⇒ x = 8

⇒ Yes √

C is the right answer.

Using the normal distribution, it is found that there is a 62.4% probability that a data value is between 37 and 41.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 38, \sigma = 2[/tex]

As a proportion, the probability that a data value is between 37 and 41 is the p-value of Z when X = 41 subtracted by the p-value of Z when X = 37, hence:

X = 41:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41 - 38}{2}[/tex]

Z = 1.5

Z = 1.5 has a p-value of 0.933.

X = 37:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{37 - 38}{2}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.309.

0.933 - 0.309 = 0.624,

0.624 = 62.4% probability that a data value is between 37 and 41.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

Hi,

a=b+3

Step-by-step explanation:

[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}[/tex]

[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}[/tex]

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

a=b+3

Answer:

c

Step-by-step explanation:

the -2 causes a shift 2 units right

Answer:

scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{V'W'}{VW}[/tex] = [tex]\frac{1}{5}[/tex]

The frequency of the data set that matches with the interval stated are:

50 - 54: 2

55 - 59: 6

60 - 64: 7

65 - 69: 3

70 - 74: 2

Frequency is the number of times a data point or a set of points within an interval appears often in a data set.

The corresponding frequency to each of the interval given for the data would be as follows:

50 - 54: 2

55 - 59: 6

60 - 64: 7

65 - 69: 3

70 - 74: 2

Learn more about the frequency of a data on:

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Answer:

  (-6)³z²  or  -6³z²

Step-by-step explanation:

An exponent is used to signify the number of times a factor appears in a product.

__

In the expression (-6)·(-6)·(-6)·z·z, the factor (-6) appears 3 times, and the factor z appears 2 times. Written with exponents, this could be ...

  (-6)³z²

_____

Additional comment

We can simplify this by realizing the product of the constant factors will be negative. (There is an odd number of minus signs.) The expression can also be written as ...

  -6³z²

The version with (-6) being cubed is a more direct translation to the use of exponents.

Answer:

-2.6112

Step-by-step explanation:

= 0.510 (3+0.2) x -1.6

= 0.510 x 3.2 x -1.6

= -2.6112

hence answer is -2.6112.

Answer:

2nd option

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

given

6xy³z × 3x²yx²

= 6 × 3 × x × x² × x² × y³ × y × z

= 18 × [tex]x^{(1+2+2)}[/tex] × [tex]y^{(3+1)}[/tex] × z

= 18[tex]x^{5}[/tex][tex]y^{4}[/tex]z

Answer:

What is Parabola:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

What is the transformation of parabolas?

The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally

Step-by-step explanation:

Answer:

need more information to answer for you.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

18,23,24,28,29,30

(6 in total + 1)/2=3.5.

- the number which is 3.5 is between 24 and 28.

- middle number between these two is 26.